Answers
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we can use either sine or cosine
Using sine we have[tex] \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]
Using cosine we have[tex] \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]
Hope this helps you
Related Questions
Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, start text, c, m, end text long by 15\,\text{cm}15cm15, start text, c, m, end text wide. Martene put 3885\text{ cm}^33885 cm 3 3885, start text, space, c, m, end text, cubed of water in the aquarium. How deep is the water in the aquarium? \text{ cm} cm
Answers
Answer:
[tex]Depth = 14[/tex]
Step-by-step explanation:
Given
[tex]Length = 18.5cm[/tex]
[tex]Width = 15cm[/tex]
[tex]Volume = 3885cm^3[/tex]
Required
Determine the deep of the aquarium
Volume is calculated as thus:
[tex]Volume = Length * Width * Depth[/tex]
Substitute values for Volume, Length and Width
[tex]3885 = 18.5 * 15 * Depth[/tex]
[tex]3885 = 277.5 * Depth[/tex]
Solve for Depth
[tex]Depth = 3885/277.5[/tex]
[tex]Depth = 14[/tex]
Hence;
the depth is 14cm
Answer:
14
Step-by-step explanation:
Got it right in Khan
PLEASE help me with this! (50+ Points)
The given table of values represents a linear equation. What is the slope?
Answers
Answer:
2
Step-by-step explanation:
slope=∆y/∆x
thus any values of x and y in the table can be used.
slope=(11-9)÷(4-3)
slope= 2.
Answer:
slope=∆y/∆x
thus any values of x and y in the table can be used.
slope=(11-9)÷(4-3)
slope= 2.
A recipe for servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?
Plz help
Answers
In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Kaitlin spent on video game and DVD rentals in the past month?
Answers
Kaitlin rented 3 video games and 6 dvds.
2.60 x 3 = 7.50 (dollars and cents)
3.30 x 6 = 19.80 (dollars and cents)
add them together to get the total cost in the past month.
(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)
ex: $2.60 x 3 <-- the amount of games she bought.
i hope this helps you.
Answer:
Kaitlin spent $27.60 on video games and DVDs in the past month.
Step-by-step explanation:
We know the price of one video game, one DVD, and the amount that was rented in the past month.
To find the total cost of the video games, multiply:
$2.60 x 3
= $7.80 spent on video games in the past month
To find the total cost of the DVDs, multiply:
$3.30 x 6
= $19.80 spent on DVDs in the past month
To find the total cost, add the total cost of video games and DVDs together:
$7.80 + $19.80 = $27.60
Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.
-13 (q + 4) = 7 q + 16
Answers
Answer:
q=3.4
Step-by-step explanation:
-13q+-52=7q+16
-52=20q+16
-68=20q
-68/20 is -3.4
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Hey!
so for the first one its 60°, and for the second one its 1/6
PLEASE HELP !!!!
Determine whether each equation is correct
Answers
Answer:
yes
Step-by-step explanation:
The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?
Answers
Answer:
The number of hours that the milk will stay fresh is 86.2 hours
Step-by-step explanation:
Given the following function;
[tex]H(T) = 180*10^{(-0.04T)}[/tex]
where;
T, is the temperature in degrees centigrade
H is the number of hours
At 8°C the number of hours that the milk will stay fresh is given by;
[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]
Therefore, the number of hours that the milk will stay fresh is 86.2 hours.
solving equations with variables on both side! due today
Answers
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
2+8 = 2x-8+8
10 =2x
Divide by 2
10/2 =2x/2
5 =x
Find three consecutive odd integers whose sum is -45. Find the largest
integer
Answers
x = the first integer.
x + 2 = the second integer.
x + 4 = the third integer.
x + x + 2 + x + 4 = -45
Combine like terms.
3x + 6 = -45
Subtract 6 from both sides.
3x = -51
Divide both sides by 3
x = -17
x + 2 = -17 + 2 = -15
x + 4 = -17 + 4 = -13
The largest integer is -13
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
WILL GIVE BRAINIEST IF RIGHT :)
A three and one fourth + 2x ≤ 6
B three and one fourth + 2x ≥ 6
C three and one fourthx + 2 ≤ 6
D three and one fourthx + 2 ≥ 6
Answers
Answer:
option 2 is correct-three and one fourth + 2x ≥ 6.
Which of Talia's steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio for the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answers
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
The correct question is:
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.
Step 2 is also correct.
Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.
Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2
Therefore the correct point-slope form is:
y – y1 = m(x – x1)
y – 3 = 2(x – 1)
Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
c
Step-by-step explanation:
took the quiz!!
7s+5c=181.40
9s+1c=132.80
Answers
Answer:
s=12.7
c=18.5
hope this helps :)
I WILL GIVE CROWN WHO ANSWERS CORRECTLY
Answers
you need to change the equation to y=mx+b
we have 6x-4y=2 what we need to do is take the 6x and put it on the other side so it’ll be: -4y=-6x+2 we then divide everything by -4 and the answer should be: y=1.5x-0.5.
you then change the second equation. Which is -2y+3x=1 we are going to follow the steps as the first equation we did so you divide everything by -2 because we want the y to be 1. It should look like this y=1.5x-0.5.
As you can see they are the same equation so that means they are in the same line so by that they’re be infinitely many solutions.
Hope this helps.
What is the approximate area of the circle shown below
Answers
An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. whats the slope and y intercept
Answers
Answer:
The slope is -2000 and the y-intercept is 30,000
Step-by-step explanation:
slope-intercept form: y=-2000x+30,000
A mobile dealer sells a mobile at a discount of 25% on its marked price and earns a profit of 10%. If the marked price of the mobile is 8800, what will be the cost price of the mobile? 6075
Answers
Discount = 25% .
Profit = 10%.
Marked price of mobile = Rs.8800.
Find :Cost Price of the mobile
Solution :As we know that, their is no direct relation between Mark price and cost price . so we have to work on selling price of the mobile.
So,
→ MP of mobile = Rs.8800
→ Discount = 25% .
than,
→ SP of mobile = MP * (100 - discount%) / 100
→ SP of mobile = 8800 * (100 - 25) / 100
→ SP of mobile = 88 * 75
→ SP of mobile = Rs.6600 .
Now,
→ SP of mobile = Rs.6600
→ Profit % = 10% .
than,
→ CP of mobile = SP * 100 / (100 + Profit%)
→ CP of mobile = 6600 * 100 / (100 + 10)
→ CP of mobile = (6600 * 100) / 110
→ CP of mobile = 60 * 100
→ CP of mobile = Rs.6000 . (Ans.)
Hence , Cost Price of the mobile is Rs.6000.
I hope it will help you.
Regards.
A percentage is a way to describe a part of a whole. The cost price of the mobile phone is 6,000.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
Let the cost price of the mobile be represented by x.
Given that dealer earn profit of 10% on its cost price, therefore, we can write the selling price of the mobile as,
Selling price = Cost price + Profit
= x + 10% of x
= 1.10x
Also, given that the mobile dealer sells a mobile at a discount of 25% on its marked price. Therefore, we can write the selling price as,
Selling price = Marked price - Discount
= Marked price - 25% of marked price
= 8,800 - 25% of 8,800
= 8,800 - 0.25(8,800)
= 8,800 - 2,200
= 6,600
Now, Comparing the sales price we got from above two equation, therefore, the cost price of the mobile can be written as,
1.10x = 6,600
x = 6,600/1.10
x = 6,000
Hence, the cost price of the mobile phone is 6,000.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
Write the product as a power:
(xy) (xy) (xy) (xy)
Answers
Answer:
(xy)⁴
Step-by-step explanation:
We have 4 xy terms multiply together. That means we can rewrite it as a power of 4.
x^4y^4
Explanation:
We can rewrite this equation grouping all the x variables together and all the y variables together because they are all being multiplied.
(xy) (xy) (xy) (xy)
=x*x*x*x*y*y*y*y
=x^4y^4
I hope this helps! Please comment if you have any questions.
sentence
A banquet hall charges $15 per person plus a $100 setup fee. The cost for x people is given by the
function
f(x) = 100 + 15x
Find F(1000)
What does F(1000) mean within the context of the problem?
(Hint start with your Independent x-value)
Independent Dependent
(X-Value) (Y-Value)
Numeric
Represents
P....
Sentence:
I
Answers
Answer:
Step-by-step explanation:
At 8:00, the temperature was -6°. Three hours later, the temperature dropped 13°. What is the temperature at 11:00?
Answers
Answer:
-19 degrees
Step-by-step explanation:
13+6=19
you would need to add the negative since it said dropped in temperature and the temperature was already negative.
Find the value of x.
Answers
in this problem x equals 10
Step-by-step explanation:
jd
Answer:
13
Step-by-step explanation:
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?
Answers
Answer:
1.6hours
Step-by-step explanation:
We know that Speed= distance/ time
But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.
And the distance is given as 800 miles
Then, what we need is to substitute the given Distance into the equation of time.
t= 1/500d. Where d= 800 miles
t= (1/500) × 800 miles
t= 800 miles/500
t= 1.6hours
Hence, it will take the airplane to travel 800 miles , 1.6hours
A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.
What is the approximate sales tax rate?
Answers
37.29 = 34.85 + 34.85(x)
Solving:
37.29 = 34.85 + 34.85x
2.44 = 34.85x
x = 0.07
The approximate sales tax rate is 7%.
Answer:
the approximately sales tax rate is 7%
Which one of these is NOT an Irrational Number?
a. 10,000,000
b. 17
C. 37
d. 12
Answers
Answer:
37 is not an irrational number
Step-by-step explanation:
to remain on the cheerleading squad,Lakita must attend at least 3/5 of the study table sessions offered . she attends 15 sessions . if Lakita met the requirements, what is the maximum number of study table sessions ?
Answers
please help! i need a circular flow model for amazon done and i have no idea how to do it! if somebody can make one for me it will be greatly appreciated!!
Answers
Answer:
Ill do it
Step-by-step explanation:
It costs my whole life insurance, 24,00 dollars, a brand new private jet, and gummy bears
Solve for x:
−2(x + 3) = −2(x + 1) − 4.
A. 2
B. 3
C. All real numbers
D. No solution
Answers
Answer:
C
Step-by-step explanation:
Any value of x makes the equation true.
Can you please answer this my homework is due ✨
Answers
3:1650
6:3300
It is all multiplying with the number 550
PLEASE ANSWER WILL GIVE BRAINLIEST!!!
What does a correlation coefficient of 0.76between two assets indicate?
Only one of the assets is profitable.
As one asset increases, the other decreases.
The two assets are weakly correlated.
The two assets are highly correlated.
Answers
by looking at the pattern , find the missing term
Answers
Answer:
where the pattern??????
Answer:
where is the pattern
Step-by-step explanation: